Leetcode Problem 1895. Largest Magic Square

1895. Largest Magic Square

Leetcode Solutions

Brute Force with Optimization

  1. Initialize the maximum size of the magic square (maxSize) to 1 (since every 1x1 grid is a magic square).
  2. Iterate over all possible top-left corners of a square within the grid.
  3. For each top-left corner, attempt to form squares of decreasing sizes starting from the minimum dimension of the grid down to 2.
  4. For each square size, calculate the sums of all rows, columns, and both diagonals.
  5. If all sums are equal, update maxSize with the current square size if it is larger than the current maxSize.
  6. If a magic square is found, break the inner loop to stop checking smaller sizes.
  7. Continue until all top-left corners and square sizes have been checked.
  8. Return maxSize as the size of the largest magic square found.
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Prefix Sum Optimization

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